Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/792, 6366/5925 quickly i.e. 65782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/792, 6366/5925 is 65782.
LCM(93/792, 6366/5925) = 65782
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/792,6366/5925
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 93,6366
Least Common Multiple of Numerators i.e. LCM of 93,6366 is 197346.
GCF of Denominators means GCF of 792,5925 as per the given fractions.
GCF of 792,5925 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,6366
3 | 93, 6366 |
31, 2122 |
∴ So the LCM of the given numbers is 3 x 31 x 2122 = 197346
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 93,6366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,6366) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,6366) x common factors =3 x 1 = 3
LCM(93,6366) = ( 93 × 6366 ) / 3
LCM(93,6366) = 592038 / 3
LCM(93,6366) = 197346
Lets's calculate GCF of 792,5925
3 | 792, 5925 |
264, 1975 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197346/3
Therefore the LCM of Fractions 93/792,6366/5925 is 65782
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 5925
List of positive integer factors of 5925 that divides 5925 without a remainder.
1,3,5,15,25,75,79,237,395,1185,1975,5925
Greatest Common Factor
We found the factors 792,5925 . The biggest common factor number is the GCF number.
So the greatest common factor 792,5925 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 93/792, 6366/5925?
Answer: LCM of Numerators as per given numbers 93/792, 6366/5925 is
LCM of Numerators i.e. for 93,6366 is 197346
GCF of denominators i.e. for 792,5925 is 3.
Thus, LCM of Fractions is 65782.Finally, LCM of Fractions for 93/792, 6366/5925 is 65782.